Professional development processes that promote teacher change: the case of a video-based program focused on leveraging students’ mathematical errors

References

• Ball, 1990. The mathematical understandings that prospective teachers bring to teacher education. Elementary school journal, 90 (4), 449–466.10.1086/esj.1990.90.issue-4
   Web of Science ®Google Scholar
• Ball, D.L., 1991. What’s all this talk about ‘discourse’?. Arithmetic teacher, 39 (3), 44–48.
   Google Scholar
• Ball, D.L., 2000. Bridging practices: intertwining content and pedagogy in teaching and learning to teach. Journal of teacher education, 51, 241–247.10.1177/0022487100051003013
   Web of Science ®Google Scholar
• Borasi, R., 1994. Capitalizing on errors as ‘springboards for inquiry’: a teaching experiment. Journal for research in mathematics education, 25, 166–208.10.2307/749507
   Web of Science ®Google Scholar
• Borko, H., Koellner, K., and Jacobs, J., 2007. The problem solving cycle: a model to support the development of teachers’ professional knowledge. Mathematical thinking and learning, 9 (3), 273–303.
   Google Scholar
• Borko, H., Jacobs, J., Eiteljorg, E., and Pittman, M.E., 2008. Video as a tool for fostering productive discussions in mathematics professional development. Teaching and teacher education, 24 (2), 417–436.10.1016/j.tate.2006.11.012
   Web of Science ®Google Scholar
• Bray, W.S., 2011. A collective case study of the influence of teachers’ beliefs and knowledge on error-handling practices during class discussion of mathematics. Journal for research in mathematics education, 42 (1), 2–38.
   Web of Science ®Google Scholar
• Bray, W.S., 2013. Leverage the potential of mathematical errors. Teaching children mathematics, 19 (7), 424 –831.
   Google Scholar
• Bray, W., and Santagata, R., 2014. Making mathematical errors “springboards for learning”. Annual perspectives in mathematics education (APME) 2014: using research to improve instruction, National Council of Teachers of Mathematics, ch.23, 239–248.
   Google Scholar
• Brophy, J., 2004. Using Video in Teacher Education. Amsterdam, the Netherlands: Elsevier Publisher.
   Google Scholar
• Clarke, D.J., Keitel, C., and Shimizu, Y., 2006. Mathematics classrooms in twelve countries: the insider’ s perspectives. Rotterdam, the Netherlands: Sense Publishers.
   Google Scholar
• Cohen, D.K., and Hill, H.C., 2000. Instructional policy and classroom performance: the mathematics reform in california. Teachers college record, 102 (2), 294–343.10.1111/tcre.2000.102.issue-2
   Web of Science ®Google Scholar
• Damon, W., 1995. Greater expectations. Overcoming the culture of indulgence in America’s homes and schools. New York, NY: The Free Press.
   Google Scholar
• Desimone, L.M., 2009. Improving impact studies of teachers' professional development: toward better conceptualizations and measures. Educational researcher, 38 (3), 181–199.10.3102/0013189X08331140
   Web of Science ®Google Scholar
• van Es, E., and Sherin, M.G., 2008. Mathematics teachers’ ‘learning to notice’ in the context of a video club. Teaching and teacher education, 24 (2), 244–276.10.1016/j.tate.2006.11.005
   Web of Science ®Google Scholar
• Gallimore, R., 1996. Classrooms are just another cultural activity. In: D.L. Speece and B.K. Keogh, eds. Research on classroom ecologies: implications for inclusion of children with learning disabilities. Mahwah, NJ: Lawrence Erlbaum Associates Inc, 229–250.
   Google Scholar
• Ghousseini, H., and Sleep, L., 2011. Making practice studyable. ZDM mathematics education, 43, 147–160.10.1007/s11858-010-0280-7
   Google Scholar
• Givvin, K., and Santagata, R., 2011. Toward a common language for discussing the features of effective professional development: the case of a U.S. mathematics program. Professional development in education, 37 (3), 439–451.10.1080/19415257.2010.527711
   Google Scholar
• Goldsmith, L.T., Doerr, H.M., and Lewis, C.C., 2014. Mathematics teachers’ learning: a conceptual framework and synthesis of research. Journal of mathematics teacher education, 17 (1), 5–36.10.1007/s10857-013-9245-4
   Google Scholar
• Grossman, P., and McDonald, M., 2008. Back to the future: directions for research in teaching and teacher education. American educational research journal, 45, 184–205.10.3102/0002831207312906
   Web of Science ®Google Scholar
• Hatch, T., and Grossman, P., 2009. Learning to look beyond the boundaries of representation. using technology to examine teaching (overview for a digital exhibition: learning from the practice of teaching). The journal of teacher education, 60, 70–85.
   Web of Science ®Google Scholar
• Hiebert, J., Gallimore, R., and Stigler, J.W., 2002. A knowledge base for the teaching profession: what would it look like and how can we get one? Educational researcher, 31 (5), 3–15.10.3102/0013189X031005003
   Google Scholar
• Hiebert, J., Gallimore, R., Garnier, H., Givvin, K.B., Hollingsworth, H., Jacobs, J., Chiu, A.M.-Y., Wearne, D., Smith, M., Kersting, N., Manaster, A., Tseng, E., Etterbeek, W., Manaster, C., Gonzales, P., and Stigler, J., 2003. Teaching mathematics in seven countries: results from the TIMSS 1999 video study (NCES 2003-013). U.S. Department of Education. Washington, DC: National Center for Education Statistics.
   Google Scholar
• Kazemi, E., and Hubbard, A., 2008. New directions for the design and study of professional development: attending to the coevolution of teachers' participation across contexts. Journal of teacher education, 59, 428–441.10.1177/0022487108324330
   Web of Science ®Google Scholar
• Kazemi, E., and Stipek, D., 2001. Promoting conceptual thinking in four upper-elementary mathematics classrooms. The elementary school journal, 102, 59–80.10.1086/esj.2001.102.issue-1
   Web of Science ®Google Scholar
• Lampert, M., 1992. Practices and problems in teaching authentic mathematics in school. In: F. Oser, A. Dick and J.-L. Patry, eds. Effective and responsible teaching: the new synthesis. New York, NY: Jossey-Bass, 295–314.
   Google Scholar
• Lampert, M., and Ball, D.L., 1998. Teaching, multimedia, and mathematics. NY: Teachers College Press.
   Google Scholar
• Lewis, C., Perry, R., and Murata, A., 2006. How should research contribute to instructional improvement? the case of lesson study. Educational researcher, 35 (3), 3–14.10.3102/0013189X035003003
   Google Scholar
• Ma, L., 1999. Knowing and teaching elementary mathematics: teachers’ understanding of fundamental mathematics in china and the united states. Mahwah, NJ: Erlbaum.
   Google Scholar
• Miles, M.B., and Huberman, A.M., 1994. Qualitative data analysis. Thousand Oaks, CA: Sage Publications Inc.
   Google Scholar
• Miller, P.J., Wang, S., Sandel, T., and Cho, G.E., 2002. Self-Esteem as folk theory: a comparison of European American and Taiwanese mothers' beliefs. Parenting: science and practice, 2, 209–239.10.1207/S15327922PAR0203_02
   Web of Science ®Google Scholar
• National Council of Teachers of Mathematics (NCTM), 2014. Principles to actions: ensuring mathematical success for all. Reston: NCTM.
   Google Scholar
• Porter, A.C., Garet, M.S., Desimone, L., Yoon, K.S., and Birman, B.F., 2000, October. Does professional development change teaching practice? results from a three-year study. (report to the U.S. department of education, office of the under secretary on contract no. EA97001001 to the American institutes for research). Washington, DC: Pelavin Research Center.
   Google Scholar
• Santagata, R., 2004. “Are you joking or are you sleeping?” cultural beliefs and practices in italian and u.s. teachers’ mistake-handling strategies. Linguistics and education, 15 (1-2), 141–164.10.1016/j.linged.2004.12.002
   Google Scholar
• Santagata, R., 2005. Practices and beliefs in mistake-handling activities: a video study of Italian and U.S. mathematics lessons. Teaching and teacher education, 21, 491–508.10.1016/j.tate.2005.03.004
   Web of Science ®Google Scholar
• Santagata, R., 2009. Designing video-based professional development for mathematics teachers in low-performing schools. Journal of teacher education, 60 (1), 38–51.
   Web of Science ®Google Scholar
• Santagata, R., Gallimore, R., and Stigler, J.W. 2005. The use of videos for teacher education and professional development: past experiences and future directions. In: C. Vrasidas and G.V. Glass, eds. Current perspectives on applied information technologies (volume 2): preparing teachers to teach with technology. ch. 9. Greenwich, CT: Information Age Publishing, 151–167.
   Google Scholar
• Santagata, R., Kersting, N., Givvin, K., and Stigler, J.W., 2011. Problem implementation as a lever for change: an experimental study of the effects of a professional development program on students’ mathematics learning. Journal of research on educational effectiveness, 4, 1–30.
   Web of Science ®Google Scholar
• Schleppenbach, M., Flevares, L.M., Sims, L.M., and Perry, M., 2007. Teachers’ responses to student mistakes in chinese and u.s. mathematics classrooms. The elementary school journal, 108 (2), 131–147.10.1086/525547
   Web of Science ®Google Scholar
• Seago, N., Mumme, J., and Branca, N., 2004. Learning and teaching linear functions: video cases for mathematics professional development. Portsmouth, NH: Heinemann.
   Google Scholar
• Seidel, T., Stürmer, K., Blomberg, G., Kobarg, M., and Schwindt, K., 2011. Teacher learning from analysis of videotaped classroom situations: does it make a difference whether teachers observe their own teaching or that of others? Teaching and teacher education, 27 (2), 259–267.10.1016/j.tate.2010.08.009
   Web of Science ®Google Scholar
• Sherin, M.G., and van Es, E., 2009. Effects of video club participation on teachers’ professional vision. Journal of Teacher Education, 60, 20–37.
   Web of Science ®Google Scholar
• Smith, M.S., 2000. Reflecting on practice: Redefining success in mathematics teaching and learning. Mathematics Teaching in the Middle School, 5 (6), 378–382; 386.
   Google Scholar
• Smith, J.P., diSessa, A.A., and Roschelle, J., 1993. Misconceptions reconceived: a constructivist analysis of knowledge in transition. Journal of the learning sciences, 3 (2), 115–163.
   Google Scholar
• Spencer, J.A., 2006. Balancing the equation: African American students’ opportunities to learn mathematics with understanding in two central city middle schools. Unpublished doctoral dissertation. University of California, Los Angeles, CA.
   Google Scholar
• Stein, M.K., Smith, M.S., Henningsen, M.A., and Silver, E., 2000. Implementing standards-based mathematics instruction. A casebook for professional development. New York, NY: Teachers College Press.
   Google Scholar
• Stein, M.K., Engle, R.A., Smith, M.S., and Hughes, E.K., 2008. Orchestrating productive mathematical discussions: five practices for helping teachers move beyond show and tell. Mathematical thinking and learning, 10, 313–340.10.1080/10986060802229675
   Google Scholar
• Stevenson, H.W., and Stigler, J.W., 1992. The learning gap: why our schools are failing and what we can learn from Japanese and Chinese education. New York, NY: Touchstone.
   Google Scholar
• Stigler, W.J., and Hiebert, J., 1999. The teaching gap: best ideas from the world’s teachers for improving education in the classroom. New York, NY: Free Press.
   Google Scholar
• Wang, J., and Hartley, K., 2003. Video technology as a support for teacher education reform. Journal of technology and teacher education, 11 (1), 105–138.
   Google Scholar
• Wang, T., and Murphy, J., 2004. An examination of coherence in a Chinese mathematics classroom. In: L. Fan, N.-Y. Wong, J. Cai and S. Li, eds. How Chinese learn mathematics: perspectives from insiders. Hackensack, NJ: World Scientific, 107–123.10.1142/SME
   Google Scholar
• Wetzel, C.D., Radtke, P.H., and Stern, H.W., 1994. Instructional effectiveness of video media. Lawrence Erlbaum Associates, Inc.
   Google Scholar
• Wilson, S.M., 2003. California dreaming: reforming mathematics education. New Haven, CT: Yale University Press.
   Google Scholar
• Wilson, S.M., and Berne, J., 1999. Teacher learning and the acquisition of professional knowledge: An examination of research on contemporary professional development. Review of research in education, 173–209.
   Web of Science ®Google Scholar